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相关论文: Non-stationary heat conduction in one-dimensional …

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Using nonequilibrium and equilibrium molecular dynamics simulations, we investigate heat conduction in a momentum-conserving mesoscopic fluid modeled by multiparticle collision dynamics. Across quasi-two-dimensional (q-2D) to…

统计力学 · 物理学 2026-04-16 Rongxiang Luo , Jiaqi Wen , Juncheng Guo

We investigate directed thermal heat flux across 1D homogenous nonlinear lattices when no net thermal bias is present on average. A nonlinear lattice of Fermi-Pasta-Ulam-type or Lennard-Jones-type system is connected at both ends to thermal…

统计力学 · 物理学 2009-12-18 Nianbei Li , Fei Zhan , Peter Hanggi , Baowen Li

We report the results of a numerical study of nonequilibrium steady states for a class of Hamiltonian models. In these models of coupled matter-energy transport, particles exchange energy through collisions with pinned-down rotating disks.…

统计力学 · 物理学 2015-05-18 Kevin K. Lin , Lai-Sang Young

Commonly, thermal transport properties of one-dimensional systems are found to be anomalous. Here, we perform a numerical and theoretical study of the $\beta$-FPUT chain, considered a prototypical model for one-dimensional anharmonic…

The Fermi-Pasta-Ulam (FPU) system, initially introduced by Fermi for numerical simulations, models vibrating chains with fixed endpoints, where particles interact weakly, nonlinearly with their nearest neighbors. Contrary to the anticipated…

偏微分方程分析 · 数学 2025-02-04 Chulkwang Kwak , Changhun Yang

The Fermi-Pasta-Ulam (FPU) one-dimensional Hamiltonian includes a quartic term which guarantees ergodicity of the system in the thermodynamic limit. Consistently, the Boltzmann factor $P(\epsilon) \sim e^{-\beta \epsilon}$ describes its…

统计力学 · 物理学 2017-11-22 Debarshee Bagchi , Constantino Tsallis

We investigate the behavior of heat conduction in two-dimensional (2D) electron gases without and with a magnetic field. We perform simulations with the Multi-Particle-Collision approach, suitably adapted to account for the Lorenz force…

介观与纳米尺度物理 · 物理学 2024-06-25 Rongxiang Luo , Qiyuan Zhang , Guanming Lin , Stefano Lepri

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

统计力学 · 物理学 2009-11-10 Jian-Sheng Wang , Baowen Li

It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The…

统计力学 · 物理学 2019-11-12 Abhishek Dhar , Anupam Kundu , Aritra Kundu

We study the effect of non-Markovian reservoirs on the heat conduction properties of short to intermediate size molecular chains. Using classical molecular dynamics simulations, we show that the distance dependence of the heat current is…

介观与纳米尺度物理 · 物理学 2009-11-13 Dvira Segal

In this letter we report numerical results giving, as a function of time, the energy fluctuation of a Fermi-Pasta-Ulam system in dynamical contact with a heat bath, the initial data of the FPU system being extracted from a Gibbs…

统计力学 · 物理学 2007-05-23 A. Carati , L. Galgani

The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs and how we treated it. It is demonstrated that the Guyer-Krumhansl equation…

Thermalization in nonlinear systems is a central concept in statistical mechanics and has been extensively studied theoretically since the seminal work of Fermi, Pasta and Ulam (FPU). Using molecular dynamics and continuum modeling of a…

介观与纳米尺度物理 · 物理学 2014-04-23 Daniel Midtvedt , Zenan Qi , Alexander Croy , Harold S. Park , Andreas Isacsson

It is necessary to use more general models than the classical Fourier heat conduction law to describe small-scale thermal conductivity processes. The effects of heat flow memory and heat capacity memory (internal energy) in solids are…

数值分析 · 数学 2021-11-30 Petr N. Vabishchevich

We present a detailed treatment of the nonequilibrium Green's function method for thermal transport due to atomic vibrations in nanostructures. Some of the key equations, such as self-energy and conductance with nonlinear effect, are…

统计力学 · 物理学 2011-11-09 Jian-Sheng Wang , Nan Zeng , Jian Wang , Chee Kwan Gan

A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a…

经典物理 · 物理学 2021-06-03 R. E. Gonzalez-Narvaez , M. López de Haro , F. Vázquez

Departures of observables from their thermal equilibrium expectation values are studied under heat flow in steady-state non-equilibrium environments. The relation between the spatial and temperature dependence of these non-equilibrium…

混沌动力学 · 物理学 2007-05-23 Kenichiro Aoki Dimitri Kusnezov

We consider chains of rotors subjected to both thermal and mechanical forcings,in a nonequilibrium steady-state. Unusual nonlinear profiles of temperature and velocities are observed in the system. In particular, the temperature is maximal…

统计力学 · 物理学 2015-05-28 Alessandra Iacobucci , Frederic Legoll , Stefano Olla , Gabriel Stoltz

We demonstrate that the modulation instability of the zone boundary mode in a finite (periodic) Fermi-Pasta-Ulam chain is the necessary but not sufficient condition for the efficient energy transfer by localized excitations. This transfer…

斑图形成与孤子 · 物理学 2015-05-19 L. I. Manevitch , V. V. Smirnov

In this tutorial we address the existence and stability of periodic and quasiperiodic orbits in N degree of freedom Hamiltonian systems and their connection with discrete symmetries. Of primary importance in our study are the nonlinear…

混沌动力学 · 物理学 2015-05-19 Tassos Bountis , George Chechin , Vladimir Sakhnenko